81486005760 has 480 divisors, whose sum is σ = 294775633152. Its totient is φ = 20782448640.

The previous prime is 81486005737. The next prime is 81486005789. The reversal of 81486005760 is 6750068418.

It is a happy number.

81486005760 is a `hidden beast` number, since 8 + 14 + 8 + 60 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52000497 + ... + 52002063.

Almost surely, 2^81486005760 is an apocalyptic number.

81486005760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81486005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147387816576).

81486005760 is an abundant number, since it is smaller than the sum of its proper divisors (213289627392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81486005760 is a wasteful number, since it uses less digits than its factorization.

81486005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 81486005760 in words is "eighty-one billion, four hundred eighty-six million, five thousand, seven hundred sixty".